S

[-]

Distribution function of fluid flow

c

[-]

Lattice discrete velocity in x-and-y components

w

[-]

Weigh Factor

V_1,2

[lu/ts]

Total velocity of fluid 1 & 2 per unit lattice-time step

r

[-]

Position vector

t

[s]

Time

τ₁

[-]

Dimensionless relaxation time

ρ

[-]

Macroscopic density

BCs

Boundary conditions

ω

[-]

Relaxation frequency

S^eq

[-]

Local equilibrium distribution function

∆t

[-]

Time step

g_x,y

[m/s²]

Gravitational acceleration

Re

[-]

Reynolds Number

∆x

[-]

Distance between two adjacent lattice nodes

PDEs

[-]

Partial Differential Equations

ODEs

[-]

Ordinary Differential Equations

Special Characters

υ

[m²/s]

Kinematic Viscosity

α

[m²/s]

Thermal diffusivity

Subscripts

M

Lattice nodes in x-direction

N

Lattice nodes in y-direction